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Let f(x+y)=f(x)f(y) and f(x) = 1 + (sin2...

Let `f(x+y)=f(x)f(y) and f(x) = 1 + (sin2x) g(x) ` where g(x) is continuous . Then `f^(1) (x)` equals

A

`f(x) g(0)`

B

`2f(x) g(0)`

C

`2g(0)`

D

`2f(0)`

Text Solution

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The correct Answer is:
B
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